Question

The transformation of the function f(x)=(1/2)^x when it becomes f(x)=(1/2)^x+3 is a horizontal shift of 3 units to the right.
True or false?

Answer 1

false

Answer 2

false, this would be true
f(x)=(1/2 )^(x-3)

Answer 3

Thanks!

Answer 4

@ashlyn17 You might wanna keep this in mind while solving transformation questions:
If original function is Y=f(x):
Y=f(x)+a implies vertical shift a units
Y=f(x+a) horizontal shift -a units
f(ax) horizontal shrink (or stretch if |a|<1) by a units (divide the x's by a)
a•f(x) vertical stretch (or shrink if |a|<1) by a factor of a
f(-x) reflect over the y-axis
-f(x) reflect over the x-axis